The post that mentioned "peripheral" vision was probably the closest. You could actually in theory make your golf swing with your eyes closed if it wasn't for the fact that we need to see our surroundings for balance. You should have the ball in your vision (which is different than looking at it) but your mind should be on your swing. If you have a key thought you're trying to accomplish (and everyone should have between 1 and 3) that's what your mind should be on. I tell everyone I'm working with "keep your eye on the ball and your mind on your hands." The hands (for the most part) control the swing. If the hands swing the club into the right positions, what the body is supposed to do (turn, weight-shift, etc) will happen much easier.